Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
120 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 45 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #10622471 | C2 | semidirect |
| 5. #10622151 | C2 | semidirect |
| 6. #10622149 | C2 | semidirect |
| 7. #10622125 | C2 | semidirect |
| 94. C11 | #2231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622809 | 2 |
| #10622471 | 2 |
| C11×#360 | 2 |
| #10622204 | 2 |
| #10622151 | 2 |
| #10622149 | 2 |
| #10622125 | 2 |
| #2231 | 11 |